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Isospectral Cayley graphs of some finite simple groups

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Publication:854581
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DOI10.1215/S0012-7094-06-13526-3zbMath1110.05044arXivmath/0501065OpenAlexW2081678265MaRDI QIDQ854581

Beth Samuels, Alexander Lubotzky, Uzi Vishne

Publication date: 5 December 2006

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0501065

zbMATH Keywords

Bruhat-Tits buildings


Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Representation-theoretic methods; automorphic representations over local and global fields (11F70)


Related Items

Eigenvalues of Cayley graphs, Division algebras and noncommensurable isospectral manifolds, On the question ``Can one hear the shape of a group? and a Hulanicki type theorem for graphs, Unnamed Item, A large family of cospectral Cayley graphs over dicyclic groups, A large family of cospectral Cayley graphs over dihedral groups



Cites Work

  • Riemannian coverings and isospectral manifolds
  • Finite common coverings of graphs
  • Buildings of spherical type and finite BN-pairs
  • Spectra of Cayley graphs
  • A family of \(\widetilde A_n\)-groups
  • Non-Sunada graphs
  • Finite-Dimensional Division Algebras over Fields
  • Unnamed Item
  • Unnamed Item
  • Unnamed Item
  • Unnamed Item
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